C meters because its not the common uniot of the measurement
Answer:The answer is 18.Step-by-step explanation:Since Dad's gas tank holds 12 gallons of gas, 50% of 12 is 6, and Mom's tank holds 50% more. So, 12 + 6 = 18. In conclusion, Mom's tank holds 18 gallons of gas.
<h2>
Answer with explanation:</h2>
It is given that:
f: R → R is a continuous function such that:
∀ x,y ∈ R
Now, let us assume f(1)=k
Also,
( Since,
f(0)=f(0+0)
i.e.
f(0)=f(0)+f(0)
By using property (1)
Also,
f(0)=2f(0)
i.e.
2f(0)-f(0)=0
i.e.
f(0)=0 )
Also,
i.e.
f(2)=f(1)+f(1) ( By using property (1) )
i.e.
f(2)=2f(1)
i.e.
f(2)=2k
f(m)=f(1+1+1+...+1)
i.e.
f(m)=f(1)+f(1)+f(1)+.......+f(1) (m times)
i.e.
f(m)=mf(1)
i.e.
f(m)=mk
Now,
![f(1)=f(\dfrac{1}{n}+\dfrac{1}{n}+.......+\dfrac{1}{n})=f(\dfrac{1}{n})+f(\dfrac{1}{n})+....+f(\dfrac{1}{n})\\\\\\i.e.\\\\\\f(\dfrac{1}{n}+\dfrac{1}{n}+.......+\dfrac{1}{n})=nf(\dfrac{1}{n})=f(1)=k\\\\\\i.e.\\\\\\f(\dfrac{1}{n})=k\cdot \dfrac{1}{n}](https://tex.z-dn.net/?f=f%281%29%3Df%28%5Cdfrac%7B1%7D%7Bn%7D%2B%5Cdfrac%7B1%7D%7Bn%7D%2B.......%2B%5Cdfrac%7B1%7D%7Bn%7D%29%3Df%28%5Cdfrac%7B1%7D%7Bn%7D%29%2Bf%28%5Cdfrac%7B1%7D%7Bn%7D%29%2B....%2Bf%28%5Cdfrac%7B1%7D%7Bn%7D%29%5C%5C%5C%5C%5C%5Ci.e.%5C%5C%5C%5C%5C%5Cf%28%5Cdfrac%7B1%7D%7Bn%7D%2B%5Cdfrac%7B1%7D%7Bn%7D%2B.......%2B%5Cdfrac%7B1%7D%7Bn%7D%29%3Dnf%28%5Cdfrac%7B1%7D%7Bn%7D%29%3Df%281%29%3Dk%5C%5C%5C%5C%5C%5Ci.e.%5C%5C%5C%5C%5C%5Cf%28%5Cdfrac%7B1%7D%7Bn%7D%29%3Dk%5Ccdot%20%5Cdfrac%7B1%7D%7Bn%7D)
Also,
i.e. ![x=\dfrac{p}{q}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7Bp%7D%7Bq%7D)
Then,
![f(\dfrac{p}{q})=f(\dfrac{1}{q})+f(\dfrac{1}{q})+.....+f(\dfrac{1}{q})=pf(\dfrac{1}{q})\\\\i.e.\\\\f(\dfrac{p}{q})=p\dfrac{k}{q}\\\\i.e.\\\\f(\dfrac{p}{q})=k\dfrac{p}{q}\\\\i.e.\\\\f(x)=kx\ for\ all\ x\ belongs\ to\ Q](https://tex.z-dn.net/?f=f%28%5Cdfrac%7Bp%7D%7Bq%7D%29%3Df%28%5Cdfrac%7B1%7D%7Bq%7D%29%2Bf%28%5Cdfrac%7B1%7D%7Bq%7D%29%2B.....%2Bf%28%5Cdfrac%7B1%7D%7Bq%7D%29%3Dpf%28%5Cdfrac%7B1%7D%7Bq%7D%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cf%28%5Cdfrac%7Bp%7D%7Bq%7D%29%3Dp%5Cdfrac%7Bk%7D%7Bq%7D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cf%28%5Cdfrac%7Bp%7D%7Bq%7D%29%3Dk%5Cdfrac%7Bp%7D%7Bq%7D%5C%5C%5C%5Ci.e.%5C%5C%5C%5Cf%28x%29%3Dkx%5C%20for%5C%20all%5C%20x%5C%20belongs%5C%20to%5C%20Q)
(
Now, as we know that:
Q is dense in R.
so Э x∈ Q' such that Э a seq
belonging to Q such that:
)
Now, we know that: Q'=R
This means that:
Э α ∈ R
such that Э sequence
such that:
![a_n\ belongs\ to\ Q](https://tex.z-dn.net/?f=a_n%5C%20belongs%5C%20to%5C%20Q)
and
![a_n\to \alpha](https://tex.z-dn.net/?f=a_n%5Cto%20%5Calpha)
![f(a_n)=ka_n](https://tex.z-dn.net/?f=f%28a_n%29%3Dka_n)
( since
belongs to Q )
Let f is continuous at x=α
This means that:
![f(a_n)\to f(\alpha)\\\\i.e.\\\\k\cdot a_n\to f(\alpha)\\\\Also\\\\k\cdot a_n\to k\alpha](https://tex.z-dn.net/?f=f%28a_n%29%5Cto%20f%28%5Calpha%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5Ck%5Ccdot%20a_n%5Cto%20f%28%5Calpha%29%5C%5C%5C%5CAlso%5C%5C%5C%5Ck%5Ccdot%20a_n%5Cto%20k%5Calpha)
This means that:
![f(\alpha)=k\alpha](https://tex.z-dn.net/?f=f%28%5Calpha%29%3Dk%5Calpha)
This means that:
f(x)=kx for every x∈ R
Answer:
Factoring allows us to solve things
Step-by-step explanation:
Math problems
Answer:15/31
Step-by-step explanation: because there are 31 kids in all and 15 of them are boys so 15/31